Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935bc |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
6993290298325442265 = 312 · 5 · 711 · 113 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1074620,409016180] |
[a1,a2,a3,a4,a6] |
Generators |
[710:1784:1] |
Generators of the group modulo torsion |
j |
876440017817099/44659644435 |
j-invariant |
L |
2.4541729990334 |
L(r)(E,1)/r! |
Ω |
0.23308261733992 |
Real period |
R |
5.2645989289679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705j1 88935z1 |
Quadratic twists by: -7 -11 |